MATH SOLVE

3 months ago

Q:
# In 1990, the cost of tuition at a large Midwestern university was $98 per credit hour. In 1997, tuition has risen to $168 per credit hour. Determine a linear function C ( x ) to represent the cost of tuition as a function of x , the number of years since 1990.In the year 2004, tuition will be ________ per credit hour.In the year__________ tuition will be $456 per credit hour.

Accepted Solution

A:

Answer: Linear function C(x) would be,C(x) = 98 + 10(x - 1990)(x is the year)Now for x = 2004C(2004) = 98 + 10( 2004 - 1990)C(2004) = 98 + 10(14)C(2004) = 98 + 140C(2004) = 238In year 2004 tution fee will be $238 per credit hour.Now C(x) = 456So,456 = 98 + 10(x - 1990)456- 98 = 10 (x - 1990)358 = 10(x - 1990)358/10 = x - 199035.8 + 1990 = x2025.8 = x So the year will be 2025.Step-by-step explanation:"10" is the rise in tution fee per year.168-98=70$70 is the rise in fee in 7 years. So,70/7 = 10.